1. Use a truth table to determine the validity of the following arguments .For the invalid argument, state the bad row. I will hire Gomer or I will hire Homer. If I don't hire Homer then l'm not having a bad hair day. I don't hire Gomer. Therefore l'm having a bad hair day 1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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I. Use a truth table to determine the validity of the following arguments .For the invalid argument, state the bad row.
I will hire Gomer or I will hire Homer.
If I don't hire Homer then I'm not having a bad hair day.
I don't hire Gomer.
Therefore l'm having a bad hair day
1.
2.
(pA-q)
por
: qVr
If I cannot buy the sports car, then at least I can dream about it.
I can buy the sports car or at least I can dream about it.
Therefore, I can buy the sports car.
3.
4.
: -r → -p
II. Determine whether the argument is valid or invalid using common patterns of reasoning. Write the arguments in
symbols and state the name of its reasoning.
All Yugo-owners are used to hitchhiking.
Gomer isn't a Yugo-owner.
Therefore, Gomer is not used to hitchhiking.
1.
All superheroes wear capes.
The Masked Gomer wears a cape.
Hence, The Masked Gomer is a superhero.
2.
If we serve adobo, then May will join us for dinner.
If May joins us for dinner, then Mar will not join us for dinner.
Therefore, if we serve adobo, Mar will not join us for dinner.
3.
Transcribed Image Text:I. Use a truth table to determine the validity of the following arguments .For the invalid argument, state the bad row. I will hire Gomer or I will hire Homer. If I don't hire Homer then I'm not having a bad hair day. I don't hire Gomer. Therefore l'm having a bad hair day 1. 2. (pA-q) por : qVr If I cannot buy the sports car, then at least I can dream about it. I can buy the sports car or at least I can dream about it. Therefore, I can buy the sports car. 3. 4. : -r → -p II. Determine whether the argument is valid or invalid using common patterns of reasoning. Write the arguments in symbols and state the name of its reasoning. All Yugo-owners are used to hitchhiking. Gomer isn't a Yugo-owner. Therefore, Gomer is not used to hitchhiking. 1. All superheroes wear capes. The Masked Gomer wears a cape. Hence, The Masked Gomer is a superhero. 2. If we serve adobo, then May will join us for dinner. If May joins us for dinner, then Mar will not join us for dinner. Therefore, if we serve adobo, Mar will not join us for dinner. 3.
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